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Mirrors > Home > MPE Home > Th. List > df-lss | Structured version Visualization version Unicode version |
Description: Define the set of linear subspaces of a left module or left vector space. (Contributed by NM, 8-Dec-2013.) |
Ref | Expression |
---|---|
df-lss |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clss 18233 |
. 2
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2 | vw |
. . 3
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3 | cvv 3031 |
. . 3
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4 | vx |
. . . . . . . . . . 11
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5 | 4 | cv 1451 |
. . . . . . . . . 10
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6 | va |
. . . . . . . . . . 11
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7 | 6 | cv 1451 |
. . . . . . . . . 10
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8 | 2 | cv 1451 |
. . . . . . . . . . 11
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9 | cvsca 15272 |
. . . . . . . . . . 11
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10 | 8, 9 | cfv 5589 |
. . . . . . . . . 10
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11 | 5, 7, 10 | co 6308 |
. . . . . . . . 9
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12 | vb |
. . . . . . . . . 10
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13 | 12 | cv 1451 |
. . . . . . . . 9
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14 | cplusg 15268 |
. . . . . . . . . 10
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15 | 8, 14 | cfv 5589 |
. . . . . . . . 9
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16 | 11, 13, 15 | co 6308 |
. . . . . . . 8
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17 | vs |
. . . . . . . . 9
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18 | 17 | cv 1451 |
. . . . . . . 8
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19 | 16, 18 | wcel 1904 |
. . . . . . 7
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20 | 19, 12, 18 | wral 2756 |
. . . . . 6
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21 | 20, 6, 18 | wral 2756 |
. . . . 5
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22 | csca 15271 |
. . . . . . 7
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23 | 8, 22 | cfv 5589 |
. . . . . 6
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24 | cbs 15199 |
. . . . . 6
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25 | 23, 24 | cfv 5589 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
26 | 21, 4, 25 | wral 2756 |
. . . 4
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27 | 8, 24 | cfv 5589 |
. . . . . 6
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28 | 27 | cpw 3942 |
. . . . 5
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29 | c0 3722 |
. . . . . 6
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30 | 29 | csn 3959 |
. . . . 5
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31 | 28, 30 | cdif 3387 |
. . . 4
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32 | 26, 17, 31 | crab 2760 |
. . 3
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33 | 2, 3, 32 | cmpt 4454 |
. 2
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34 | 1, 33 | wceq 1452 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: lssset 18235 |
Copyright terms: Public domain | W3C validator |